Hereditary structure in Hamiltonians: Information geometry of Ising spin chains

DOI10.1016/j.physleta.2009.12.022zbMath1235.82012OpenAlexW2032792781MaRDI QIDQ763940

Akio Fujiwara, Shigeru Shuto

Publication date: 2 April 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.12.022

zbMATH Keywords

phase transitionhierarchical modelinformation geometrymean field theorymathematical statisticscluster approximation

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Parametric hypothesis testing (62F03) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum coding (general) (81P70)

Related Items (1)

Koszul information geometry, Liouville-Mineur integrable systems and Moser isospectral deformation method for Hermitian positive-definite matrices

Cites Work

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• Information geometry on hierarchy of probability distributions
• Stochastic Reasoning, Free Energy, and Information Geometry
• Statistical theory of superlattices
• On Ising's model of ferromagnetism

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